u^2-25u+46=0

Solution for u^2-25u+46=0 equation:

Simplifying
u2 + -25u + 46 = 0

Reorder the terms:
46 + -25u + u2 = 0

Solving
46 + -25u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + -1u)(23 + -1u) = 0

Subproblem 1
Set the factor '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Subproblem 2
Set the factor '(23 + -1u)' equal to zero and attempt to solve:

Simplifying
23 + -1u = 0

Solving
23 + -1u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-23' to each side of the equation.
23 + -23 + -1u = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1u = 0 + -23
-1u = 0 + -23

Combine like terms: 0 + -23 = -23
-1u = -23

Divide each side by '-1'.
u = 23

Simplifying
u = 23
Solution
u = {2, 23}